# So many mods

**Algebra**Level 4

\[ \large y=||||\ldots |||x|-k|-k|-k|\ldots -k|-k|-k|-k|\]

Consider the equation above where \(k\) is any positive integer and there are \(n\) number of \(k\)'s.

What is the area bounded by the curve and the \(x\)-axis considered between the largest and the smallest \(x\) coordinates where the equation vanishes?

Note that \( |x| \) denote the absolute value of \(x\).